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A Rate for the Erdős-Turán Law*

Published online by Cambridge University Press:  12 September 2008

A. D. Barbour  and
Simon Tavaré
A. D. Barbour
Affiliation:
Institut für Angewandte Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057, Zurich, Switzerland
Simon Tavaré
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, CA 90089-1113
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Abstract

The Erdős-Turán law gives a normal approximation for the order of a randomly chosen permutation of n objects. In this paper, we provide a sharp error estimate for the approximation, showing that, if the mean of the approximating normal distribution is slightly adjusted, the error is of order log−1/2n.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 2 , June 1994 , pp. 167 - 176
Copyright
Copyright © Cambridge University Press 1994

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